Finding the Third Proportional to 89,772 and 194,402

Step by Step Solution

1. Step 1: Write the proportion equation
   89,772 : 194,402 = 194,402 : x
2. Step 2: Convert to fraction form
   89,772/194,402 = 194,402/x
3. Step 3: Cross multiply
   89,772x = 194,402 × 194,402
4. Step 4: Simplify right side
   89,772x = 37,792,137,604
5. Step 5: Solve for x
   x = 37,792,137,604/89,772
6. Step 6: Final answer
   x = 420,979.12